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Jeff wants to identify the greatest prime number less than [tex]\sqrt{189}[/tex]. Which prime number should he pick?

A. 13
B. 11
C. 9
D. 7

Sagot :

GinnyAnswer
To determine the greatest prime number less than [tex]\(\sqrt{189}\)[/tex], follow these steps:

1. Calculate [tex]\(\sqrt{189}\)[/tex]:
- [tex]\(\sqrt{189}\)[/tex] is approximately 13.74772708486752.

2. Identify prime numbers less than 13.74772708486752:
- The prime numbers less than 13.74772708486752 are 2, 3, 5, 7, 11, and 13.

3. Determine the greatest prime number from the list:
- Among the prime numbers less than 13.74772708486752, 13 is the greatest.

Thus, the greatest prime number less than [tex]\(\sqrt{189}\)[/tex] is:
a) 13
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